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9052830384 = 243131013792
BaseRepresentation
bin10000110111001011…
…10011101010110000
3212100220111102200020
420123211303222300
5122020011033014
64054145323440
7440223534333
oct103345635260
925326442606
109052830384
1139260a5504
121907936580
13b136b9a90
1461c44861a
1537eb651a9
hex21b973ab0

9052830384 has 120 divisors (see below), whose sum is σ = 25502086512. Its totient is φ = 2750630400.

The previous prime is 9052830373. The next prime is 9052830407. The reversal of 9052830384 is 4830382509.

9052830384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×90528303842 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23885907 + ... + 23886285.

Almost surely, 29052830384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9052830384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12751043256).

9052830384 is an abundant number, since it is smaller than the sum of its proper divisors (16449256128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9052830384 is a wasteful number, since it uses less digits than its factorization.

9052830384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 9052830384 is about 95146.3629572881. The cubic root of 9052830384 is about 2084.1459453765.

The spelling of 9052830384 in words is "nine billion, fifty-two million, eight hundred thirty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 101 104 156 202 208 303 312 379 404 606 624 758 808 1137 1212 1313 1516 1616 2274 2424 2626 3032 3939 4548 4848 4927 5252 6064 7878 9096 9854 10504 14781 15756 18192 19708 21008 29562 31512 38279 39416 59124 63024 76558 78832 114837 118248 143641 153116 229674 236496 287282 306232 430923 459348 497627 574564 612464 861846 918696 995254 1149128 1492881 1723692 1837392 1867333 1990508 2298256 2985762 3447384 3734666 3981016 5601999 5971524 6894768 7469332 7962032 11203998 11943048 14507741 14938664 22407996 23886096 29015482 29877328 43523223 44815992 58030964 87046446 89631984 116061928 174092892 188600633 232123856 348185784 377201266 565801899 696371568 754402532 1131603798 1508805064 2263207596 3017610128 4526415192 9052830384